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Finding the Fourth Proportional to 583.68, 871.20 and 525.36

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Solution

The fourth proportional to 583.68, 871.20 and 525.36 is: 784.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.68 : 871.20 = 525.36 : x
  2. Step 2: Convert to fraction form
    583.68/871.20 = 525.36/x
  3. Step 3: Cross multiply
    583.68x = 871.20 × 525.36
  4. Step 4: Simplify right side
    583.68x = 457,693.63
  5. Step 5: Solve for x
    x = 457,693.63/583.68
  6. Step 6: Final answer
    x = 784.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.